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D-loops
Authors: I. I. Deriyenko, W. A. Dudek
– 0.21 Mb
Abstract
D-loops are loops with the antiautomorphic inverse property. The class of such loops is larger than the class of IP-loops. The smallest D-loops which is not an IP-loop has six elements. We prove several basic properties of such loops and present methods of constructions of D-loops from IP-loops. Unfortunately, a loop isotopic to a D-loop may not be a D-loop.Fulltext
– 0.21 Mb
Contents
- Bipolar fuzzy Lie superalgebras
- Recursively r-differentiable quasigroups within S-systems and MDS-codes
- A characterization of binary invertible algebras of various types of linearity
- Generalized IP-loops
- D-loops
- Prime and weakly prime ideals in semirings
- Congruences on completely inverse AG**-groupoids
- Construction of subdirectly irreducible SQS-skeins
- Clifford congruences on an idempotent-surjective R-semigroup
- A new characterization of Osborn-Buchsteiner loops
- Left quasi-regular and intra-regular ordered semigroups using fuzzy ideals
- On fuzzy ordered semigroups
- On finite loops whose inner mapping groups are direct products of dihedral groups and abelian groups
- New signature scheme based on difficulty of finding roots
- Some remarks on Abel-Grassmann's groupsC
- Polyadic groups and automorphisms of cyclic extensions
